Wave equation on certain noncompact symmetric spaces
Analysis of PDEs
2021-09-24 v2
Abstract
In this paper, we prove sharp pointwise kernel estimates and dispersive properties for the linear wave equation on noncompact Riemannian symmetric spaces G/K of any rank with G complex. As a consequence, we deduce Strichartz inequalities for a large family of admissible pairs and prove global well-posedness results for the corresponding semilinear equation with low regularity data as on hyperbolic spaces.
Cite
@article{arxiv.2007.11724,
title = {Wave equation on certain noncompact symmetric spaces},
author = {Hong-Wei Zhang},
journal= {arXiv preprint arXiv:2007.11724},
year = {2021}
}
Comments
To appear in Pure and Applied Analysis